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This paper deals with the phase noise affecting communication systems, where local oscillators are employed to obtain reference signals for carrier and timing synchronizations. The most common discrete-time phase noise channel model is…

Information Theory · Computer Science 2024-06-21 Amina Piemontese , Giulio Colavolpe , Thomas Eriksson

Quantum computing holds potential for accelerating the simulation of fluid dynamics. However, hardware noise in the noisy intermediate-scale quantum era significantly distorts simulation accuracy. Although error magnitudes are frequently…

Quantum Physics · Physics 2025-12-30 Jiahua Yang , Zhen Lu , Yue Yang

We present a framework that utilizes quantum algorithms, an architecture aware quantum noise model and an ideal simulator to benchmark quantum computers. The benchmark metrics highlight the difference between the quantum computer evolution…

Quantum Physics · Physics 2021-12-20 Konstantinos Georgopoulos , Clive Emary , Paolo Zuliani

We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into…

Quantum Physics · Physics 2016-01-26 Talitha Weiss , Andreas Kronwald , Florian Marquardt

In this paper, we present an optimal filter for linear time-varying continuous-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense. We first show that the unknown inputs…

Optimization and Control · Mathematics 2016-11-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

With the rise of computers, simulation models have emerged beside the more traditional statistical and mathematical models as a third pillar for ecological analysis. Broadly speaking, a simulation model is an algorithm, typically…

Populations and Evolution · Quantitative Biology 2018-12-24 Florian Hartig

Randomized benchmarking is a promising tool for characterizing the noise in experimental implementations of quantum systems. In this paper, we prove that the estimates produced by randomized benchmarking (both standard and interleaved) for…

Quantum Physics · Physics 2015-12-18 Joel J. Wallman , Steven T. Flammia

We describe an inference task in which a set of timestamped event observations must be clustered into an unknown number of temporal sequences with independent and varying rates of observations. Various existing approaches to multi-object…

Artificial Intelligence · Computer Science 2013-09-20 Dan Stowell , Mark D. Plumbley

Filtering and smoothing algorithms for linear discrete-time state-space models with skewed and heavy-tailed measurement noise are presented. The algorithms use a variational Bayes approximation of the posterior distribution of models that…

Systems and Control · Computer Science 2015-06-30 Henri Nurminen , Tohid Ardeshiri , Robert Piché , Fredrik Gustafsson

This article discusses a partially adapted particle filter for estimating the likelihood of a nonlinear structural econometric state space models whose state transition density cannot be expressed in closed form. The filter generates the…

Methodology · Statistics 2012-09-05 Jamie Hall , Michael K. Pitt , Robert Kohn

This paper presents description of time evolution of averages of Markov process in wide range of noise intensity. Exact expression of time scale of average evolution has been obtained. It has been demonstrated numerically that for purely…

adap-org · Physics 2009-10-30 Andrey L. Pankratov

This paper proposes a simulation-based reinforcement learning algorithm for controlling systems with uncertain and varying system parameters. While simulators are useful for safely learning control policies, the reality gap remains a major…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Junya Ikemoto

Continuous-time Markov process models of contagions are widely studied, not least because of their utility in predicting the evolution of real-world contagions and in formulating control measures. It is often the case, however, that…

Physics and Society · Physics 2016-11-23 Peter G. Fennell , Sergey Melnik , James P. Gleeson

Adaptive filters are at the core of many signal processing applications, ranging from acoustic noise supression to echo cancelation, array beamforming, channel equalization, to more recent sensor network applications in surveillance, target…

Systems and Control · Electrical Eng. & Systems 2021-12-24 Jerónimo Arenas-García , Luis A. Azpicueta-Ruiz , Magno T. M. Silva , Vitor H. Nascimento , Ali H. Sayed

Quantum instruments describe both the classical outcome and the updated state associated with a quantum measurement. We ask whether these processes can be simulated using only a natural subset of resources, namely projective measurements on…

Quantum Physics · Physics 2025-07-24 Shishir Khandelwal , Armin Tavakoli

In this article, variational state estimation is examined from the dynamic programming perspective. This leads to two different value functional recursions depending on whether backward or forward dynamic programming is employed. The result…

Methodology · Statistics 2025-12-17 Filip Tronarp

The identification of states and parameters from noisy measurements of a dynamical system is of great practical significance and has received a lot of attention. Classically, this problem is expressed as optimization over a class of models.…

Given a discrete-state continuous-time reactive system, like a digital circuit, the classical approach is to first model it as a state transition system and then prove its properties. Our contribution advocates a different approach: to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Matthias Fuegger , Christoph Lenzen , Ulrich Schmid

Nature, as far as we know, evolves continuously through space and time. Yet the ubiquitous hidden Markov model (HMM)--originally developed for discrete time and space analysis in natural language processing--remains a central tool in…

Biomolecules · Quantitative Biology 2025-06-09 Max Schweiger , Ayush Saurabh , Steve Pressé

With the transition towards a smart grid, Information and Communications Technology (ICT) infrastructures play a growing role in the operation of transmission systems. Cyber-physical systems are usually studied using co-simulation. The…

Systems and Control · Electrical Eng. & Systems 2023-12-04 Frédéric Sabot , Pierre-Etienne Labeau , Jean-Michel Dricot , Pierre Henneaux
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